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(x+1)/x×[2x/(x+1)]²-[1/(x-1)-1/(x+1)]
=2/(x+1)-(x+1-x+1)/(x²-1)
=2(x-1)/(x²-1)-2/(x²-1)
=2(x-2)/(x²-1)
=2/(x+1)-(x+1-x+1)/(x²-1)
=2(x-1)/(x²-1)-2/(x²-1)
=2(x-2)/(x²-1)
追问
不对,2x的2次方
追答
(x+1)/x×[2x/(x+1)]²-[1/(x-1)-1/(x+1)]
=4x/(x+1)-(x+1-x+1)/(x²-1)
=4x(x-1)/(x²-1)-2/(x²-1)
=(4x²-4x-2)/(x²-1)
=2(2x²-2x-1)/(x²-1)
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